SOLUTION: The demand equation for a product is given q=1000-3^p. Solve for p and express your answer in terms of common logarithms. Thanx!

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Question 1058540: The demand equation for a product is given q=1000-3^p. Solve for p and express your answer in terms of common logarithms. Thanx!
Answer by solve_for_x(190) About Me  (Show Source):
You can put this solution on YOUR website!
Rearrange the equation so that 3^p is isolated on the left side:

3%5Ep+=+1000+-+q

Taking the logarithm of both sides gives:

p+%2A+log%28%283%29%29+=+log%28%281000+-+q%29%29

And dividing both sides by log(3) leaves:

p+=+log%28%281000+-+q%29%29+%2F+log%28%283%29%29